Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that both cards are hearts?a.1/105b.1/109c.1/221d.1/542
Question
Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that both cards are hearts?a.1/105b.1/109c.1/221d.1/542
Solution
The probability of drawing a heart from a standard deck of 52 cards is 13/52 or 1/4 since there are 13 hearts in the deck.
When one heart is drawn, there are now 51 cards left in the deck and 12 hearts. So, the probability of drawing a second heart is 12/51.
The probability of both events happening is the product of their individual probabilities. So, the probability of drawing two hearts in a row is (1/4) * (12/51) = 12/204 = 1/17.
None of the options given match this answer.
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